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Finding the Fourth Proportional to 493.38, 680.85 and 283.57

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Solution

The fourth proportional to 493.38, 680.85 and 283.57 is: 391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 680.85 = 283.57 : x
  2. Step 2: Convert to fraction form
    493.38/680.85 = 283.57/x
  3. Step 3: Cross multiply
    493.38x = 680.85 × 283.57
  4. Step 4: Simplify right side
    493.38x = 193,066.93
  5. Step 5: Solve for x
    x = 193,066.93/493.38
  6. Step 6: Final answer
    x = 391.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.